36572664333100 has 72 divisors (see below), whose sum is σ = 91160615034720. Its totient is φ = 12475548395520.

The previous prime is 36572664333091. The next prime is 36572664333113. The reversal of 36572664333100 is 133346627563.

It is a happy number.

It is a super-2 number, since 2×36572664333100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132467845 + ... + 132743644.

It is an arithmetic number, because the mean of its divisors is an integer number (1266119653260).

Almost surely, 2^{36572664333100} is an apocalyptic number.

It is an amenable number.

36572664333100 is an abundant number, since it is smaller than the sum of its proper divisors (54587950701620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36572664333100 is a wasteful number, since it uses less digits than its factorization.

36572664333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265211707 (or 265211700 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 49.

The spelling of 36572664333100 in words is "thirty-six trillion, five hundred seventy-two billion, six hundred sixty-four million, three hundred thirty-three thousand, one hundred".